### Abstract

We present closed-form expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of non-identical squared Nakagami-m random variables (RVs) with integer-order fading parameters. As it is shown, they can be written as a weighted sum of Erlang PDFs and CDFs, respectively, while the analysis includes both independent and correlated sums of RVs. The proposed formulation significantly improves previously published results, which are either in the form of infinite sums or higher order derivatives of the fading parameter m. The obtained formulas can be applied to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels.

Original language | English |
---|---|

Pages (from-to) | 1353-1359 |

Number of pages | 7 |

Journal | IEEE Transactions on Communications |

Volume | 54 |

Issue number | 8 |

DOIs | |

Publication status | Published - Aug 2006 |

Externally published | Yes |

### Fingerprint

### Keywords

- Average symbol-error probability (ASEP)
- Diversity
- Maximal ratio combining (MRC)
- Nakagami-m fading
- Outage probability
- Shannon's channel capacity
- Sum of Erlang variates

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Computer Networks and Communications

### Cite this

*IEEE Transactions on Communications*,

*54*(8), 1353-1359. https://doi.org/10.1109/TCOMM.2006.878812

**Closed-form statistics for the sum of squared Nakagami-m variates and its applications.** / Karagiannidis, George K.; Sagias, Nikos C.; Tsiftsis, Theodoros A.

Research output: Contribution to journal › Article

*IEEE Transactions on Communications*, vol. 54, no. 8, pp. 1353-1359. https://doi.org/10.1109/TCOMM.2006.878812

}

TY - JOUR

T1 - Closed-form statistics for the sum of squared Nakagami-m variates and its applications

AU - Karagiannidis, George K.

AU - Sagias, Nikos C.

AU - Tsiftsis, Theodoros A.

PY - 2006/8

Y1 - 2006/8

N2 - We present closed-form expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of non-identical squared Nakagami-m random variables (RVs) with integer-order fading parameters. As it is shown, they can be written as a weighted sum of Erlang PDFs and CDFs, respectively, while the analysis includes both independent and correlated sums of RVs. The proposed formulation significantly improves previously published results, which are either in the form of infinite sums or higher order derivatives of the fading parameter m. The obtained formulas can be applied to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels.

AB - We present closed-form expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of non-identical squared Nakagami-m random variables (RVs) with integer-order fading parameters. As it is shown, they can be written as a weighted sum of Erlang PDFs and CDFs, respectively, while the analysis includes both independent and correlated sums of RVs. The proposed formulation significantly improves previously published results, which are either in the form of infinite sums or higher order derivatives of the fading parameter m. The obtained formulas can be applied to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels.

KW - Average symbol-error probability (ASEP)

KW - Diversity

KW - Maximal ratio combining (MRC)

KW - Nakagami-m fading

KW - Outage probability

KW - Shannon's channel capacity

KW - Sum of Erlang variates

UR - http://www.scopus.com/inward/record.url?scp=33747861077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747861077&partnerID=8YFLogxK

U2 - 10.1109/TCOMM.2006.878812

DO - 10.1109/TCOMM.2006.878812

M3 - Article

VL - 54

SP - 1353

EP - 1359

JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

SN - 0096-1965

IS - 8

ER -